Splitting fields of association schemes

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9 Citations (Scopus)

Abstract

The splitting field K of a commutative association scheme is the extension of the rationals by the adjunction of all eigenvalues of the association scheme. Let L be a subfield of K containing all the Krein parameters. It is shown that the Galois group of K L is contained in the center of the Galois group of K Q. In particular, if the Krein parameters are all rational, then the eigenvalues are contained in a cyclotomic number field.

Original languageEnglish
Pages (from-to)157-161
Number of pages5
JournalJournal of Combinatorial Theory, Series A
Volume57
Issue number1
DOIs
Publication statusPublished - 1991 May
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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